Downloaded DAE that's inside out, unable to export properly
The problem you have, is with the model it self. I have downloaded that Voldemort model and imported to Blender as DAE. Changed to Blender Render, and set the viewport mode to Material. There I can see exactly your triangles as material. What WorldWind will show you is exactly what you have under Blender Render's viewport material.  if you rotate your model, you can  notice that you have a non well structured model (you have planes and edges that intersect themselves) To fix this model, you should retopology on him, and build a single object, after this, you will want to bake the texture of the old model to the new model. Exporting the retopologized model, you should have no problems loading it into any other software. You may consider to download/search 3D models in other sources, like this: http://tf3dm.com/3d-model/lord-voldemort-13066.html. Then you just need to add an armature/rig the model and deform it to the pose you want, and export as DAE, so your software might read it (this process will be really faster than retopology the model and correct it, and retexturing it).